A boy is trying to climb a slippery pole and finds that he can climb to a height of at least 1-850 m once in five attempts, and to a height of at least 1-700 m nine times out of ten attempts. Assuming that the heights he can reach in various attempts form a normal distribution, calculate the mean and standard deviation of the distribution. Calculate also the height that the boy can expect to exceed once in one thousand attempts.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Statistics and Probability
A boy is trying to climb a slippery pole and finds that he can climb to a height of at least
1-850 m once in five attempts, and to a height of at least 1-700 m nine times out of ten
attempts. Assuming that the heights he can reach in various attempts form a normal
distribution, calculate the mean and standard deviation of the distribution. Calculate also the
height that the boy can expect to exceed once in one thousand attempts.
Transcribed Image Text:A boy is trying to climb a slippery pole and finds that he can climb to a height of at least 1-850 m once in five attempts, and to a height of at least 1-700 m nine times out of ten attempts. Assuming that the heights he can reach in various attempts form a normal distribution, calculate the mean and standard deviation of the distribution. Calculate also the height that the boy can expect to exceed once in one thousand attempts.
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